{
  "id": 4544,
  "curve_key": "1009859296:-32090017882240",
  "ainvs": [
    "0",
    "1",
    "0",
    "-21038735",
    "37134211489"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 62.19923054161148,
  "faltings_height": 2.857151153666544,
  "conductor": "242745432809344",
  "bad_primes": [
    "2",
    "17",
    "47",
    "103",
    "151",
    "191"
  ],
  "discriminant": "58573987446029088512",
  "regulator": "449444.2698011828074983932790898470636443120896799460",
  "points": [
    [
      "2712",
      "-5579"
    ],
    [
      "4032",
      "133681"
    ],
    [
      "75024",
      "-20512057"
    ],
    [
      "10653/4",
      "1973/8"
    ],
    [
      "12501/4",
      "350321/8"
    ],
    [
      "67536/25",
      "574709/125"
    ],
    [
      "96229/36",
      "-387847/216"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained as the rational 2-isogenous partner of ICARM curve #4516, submitted by Volkan Dagli. The partner has the same rank lower bound and conductor. Seven rational witness points were transported through the degree-2 isogeny.",
  "created_at": "2026-10-17 13:09:31",
  "updated_at": "2026-10-17 13:09:31"
}